%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC449_1 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n008.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:18 AM UTC 2026 % Result : Theorem 0.42s 0.77s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC449_1 : TPTP v9.2.1. Released v9.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n008.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 19:47:48 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 0.42/0.77 --- Run --finite-model-find --decision=internal at 45... % 0.42/0.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.42/0.77 % SZS status Theorem % 0.42/0.77 % SZS output start Proof % 0.42/0.77 ( % 0.42/0.77 (declare-const tptp.fast (-> Int Int)) % 0.42/0.77 (declare-const tptp.v1 (-> Int Int)) % 0.42/0.77 (declare-const tptp.u1 (-> Int Int Int)) % 0.42/0.77 (declare-const tptp.h1 (-> Int Int)) % 0.42/0.77 (declare-const tptp.g1 Int) % 0.42/0.77 (declare-const tptp.f1 (-> Int Int)) % 0.42/0.77 (declare-const tptp.small (-> Int Int)) % 0.42/0.77 (declare-const tptp.v0 (-> Int Int)) % 0.42/0.77 (declare-const tptp.u0 (-> Int Int Int)) % 0.42/0.77 (declare-const tptp.h0 Int) % 0.42/0.77 (declare-const tptp.g0 (-> Int Int)) % 0.42/0.77 (declare-const tptp.f0 (-> Int Int Int)) % 0.42/0.77 (define @t1 () (@var "Y" Int)) % 0.42/0.77 (define @t2 () (* (+ 2 @t1) @t1)) % 0.42/0.77 (define @t3 () (@var "X" Int)) % 0.42/0.77 (define @t4 () (tptp.f0 @t3 @t1)) % 0.42/0.77 (define @t5 () (= @t4 @t2)) % 0.42/0.77 (define @t6 () (@list @t3 @t1)) % 0.42/0.77 (define @t7 () (forall @t6 @t5)) % 0.42/0.77 (define @t8 () (+ @t3 @t3)) % 0.42/0.77 (define @t9 () (* 2 @t8)) % 0.42/0.77 (define @t10 () (tptp.g0 @t3)) % 0.42/0.77 (define @t11 () (= @t10 @t9)) % 0.42/0.77 (define @t12 () (@list @t3)) % 0.42/0.77 (define @t13 () (forall @t12 @t11)) % 0.42/0.77 (define @t14 () (= tptp.h0 2)) % 0.42/0.77 (define @t15 () (- @t3 1)) % 0.42/0.77 (define @t16 () (tptp.u0 @t15 @t1)) % 0.42/0.77 (define @t17 () (tptp.f0 @t16 @t3)) % 0.42/0.77 (define @t18 () (tptp.u0 @t3 @t1)) % 0.42/0.77 (define @t19 () (= @t18 @t17)) % 0.42/0.77 (define @t20 () (<= @t3 0)) % 0.42/0.77 (define @t21 () (not @t20)) % 0.42/0.77 (define @t22 () (=> @t21 @t19)) % 0.42/0.77 (define @t23 () (= @t18 @t1)) % 0.42/0.77 (define @t24 () (=> @t20 @t23)) % 0.42/0.77 (define @t25 () (and @t24 @t22)) % 0.42/0.77 (define @t26 () (forall @t6 @t25)) % 0.42/0.77 (define @t27 () (tptp.v0 @t3)) % 0.42/0.77 (define @t28 () (tptp.small @t3)) % 0.42/0.77 (define @t29 () (= @t28 @t27)) % 0.42/0.77 (define @t30 () (forall @t12 @t29)) % 0.42/0.77 (define @t31 () (+ 2 @t3)) % 0.42/0.77 (define @t32 () (* @t31 @t3)) % 0.42/0.77 (define @t33 () (tptp.f1 @t3)) % 0.42/0.77 (define @t34 () (= @t33 @t32)) % 0.42/0.77 (define @t35 () (=> @t21 @t34)) % 0.42/0.77 (define @t36 () (* @t31 1)) % 0.42/0.77 (define @t37 () (= @t33 @t36)) % 0.42/0.77 (define @t38 () (=> @t20 @t37)) % 0.42/0.77 (define @t39 () (and @t38 @t35)) % 0.42/0.77 (define @t40 () (forall @t12 @t39)) % 0.42/0.77 (define @t41 () (= tptp.g1 1)) % 0.42/0.77 (define @t42 () (tptp.h1 @t3)) % 0.42/0.77 (define @t43 () (= @t42 @t9)) % 0.42/0.77 (define @t44 () (forall @t12 @t43)) % 0.42/0.77 (define @t45 () (tptp.u1 @t15 @t1)) % 0.42/0.77 (define @t46 () (tptp.f1 @t45)) % 0.42/0.77 (define @t47 () (tptp.u1 @t3 @t1)) % 0.42/0.77 (define @t48 () (= @t47 @t46)) % 0.42/0.77 (define @t49 () (=> @t21 @t48)) % 0.42/0.77 (define @t50 () (= @t47 @t1)) % 0.42/0.77 (define @t51 () (=> @t20 @t50)) % 0.42/0.77 (define @t52 () (and @t51 @t49)) % 0.42/0.77 (define @t53 () (forall @t6 @t52)) % 0.42/0.77 (define @t54 () (tptp.v1 @t3)) % 0.42/0.77 (define @t55 () (tptp.fast @t3)) % 0.42/0.77 (define @t56 () (= @t55 @t54)) % 0.42/0.77 (define @t57 () (forall @t12 @t56)) % 0.42/0.77 (define @t58 () (@var "C" Int)) % 0.42/0.77 (define @t59 () (= (tptp.small @t58) (tptp.fast @t58))) % 0.42/0.77 (define @t60 () (not @t59)) % 0.42/0.77 (define @t61 () (>= @t58 0)) % 0.42/0.77 (define @t62 () (and @t61 @t60)) % 0.42/0.77 (define @t63 () (@list @t58)) % 0.42/0.77 (define @t64 () (exists @t63 @t62)) % 0.42/0.77 (define @t65 () (= @t27 @t28)) % 0.42/0.77 (define @t66 () (not @t61)) % 0.42/0.77 (define @t67 () (@quantifiers_skolemize (forall @t63 (or @t66 @t59)) 0)) % 0.42/0.77 (define @t68 () (tptp.v0 @t67)) % 0.42/0.77 (define @t69 () (tptp.small @t67)) % 0.42/0.77 (define @t70 () (- @t69 @t68)) % 0.42/0.77 (define @t71 () (= @t69 @t68)) % 0.42/0.77 (define @t72 () (= @t68 @t69)) % 0.42/0.77 (define @t73 () (forall @t12 @t65)) % 0.42/0.77 (define @t74 () (@list @t67)) % 0.42/0.77 (define @t75 () (@list false)) % 0.42/0.77 (define @t76 () (= @t54 @t55)) % 0.42/0.77 (define @t77 () (tptp.v1 @t67)) % 0.42/0.77 (define @t78 () (tptp.fast @t67)) % 0.42/0.77 (define @t79 () (- @t78 @t77)) % 0.42/0.77 (define @t80 () (= @t78 @t77)) % 0.42/0.77 (define @t81 () (= @t77 @t78)) % 0.42/0.77 (define @t82 () (forall @t12 @t76)) % 0.42/0.77 (define @t83 () (* 2 @t3)) % 0.42/0.77 (define @t84 () (+ -1 @t3)) % 0.42/0.77 (define @t85 () (= @t47 (tptp.f1 (tptp.u1 @t84 @t1)))) % 0.42/0.77 (define @t86 () (>= @t3 1)) % 0.42/0.77 (define @t87 () (not @t86)) % 0.42/0.77 (define @t88 () (or @t87 @t85)) % 0.42/0.77 (define @t89 () (forall @t6 @t88)) % 0.42/0.77 (define @t90 () (@list @t3 @t1)) % 0.42/0.77 (define @t91 () (= @t1 @t47)) % 0.42/0.77 (define @t92 () (or @t86 @t91)) % 0.42/0.77 (define @t93 () (forall @t6 @t92)) % 0.42/0.77 (define @t94 () (@var "BOUND_VARIABLE_7623" Int)) % 0.42/0.77 (define @t95 () (@var "BOUND_VARIABLE_7621" Int)) % 0.42/0.77 (define @t96 () (and @t93 @t89)) % 0.42/0.77 (define @t97 () (not @t87)) % 0.42/0.77 (define @t98 () (and (=> @t87 @t91) (=> @t86 @t85))) % 0.42/0.77 (define @t99 () (* -1 1)) % 0.42/0.77 (define @t100 () (+ @t3 @t99)) % 0.42/0.77 (define @t101 () (+ 0 1)) % 0.42/0.77 (define @t102 () (>= @t3 @t101)) % 0.42/0.77 (define @t103 () (tptp.h1 @t67)) % 0.42/0.77 (define @t104 () (>= tptp.g1 1)) % 0.42/0.77 (define @t105 () (not @t41)) % 0.42/0.77 (define @t106 () (not @t104)) % 0.42/0.77 (define @t107 () (>= tptp.g1 @t101)) % 0.42/0.77 (define @t108 () (<= tptp.g1 0)) % 0.42/0.77 (define @t109 () (<= 0 -1)) % 0.42/0.77 (define @t110 () (+ 0 -1)) % 0.42/0.77 (define @t111 () (+ 0 @t99)) % 0.42/0.77 (define @t112 () (* -1 tptp.g1)) % 0.42/0.77 (define @t113 () (+ tptp.g1 @t112)) % 0.42/0.77 (define @t114 () (< -1 0)) % 0.42/0.77 (define @t115 () (and @t106 @t41)) % 0.42/0.77 (define @t116 () (@list @t41)) % 0.42/0.77 (define @t117 () (+ -1 tptp.g1)) % 0.42/0.77 (define @t118 () (tptp.u1 @t117 @t103)) % 0.42/0.77 (define @t119 () (tptp.f1 @t118)) % 0.42/0.77 (define @t120 () (tptp.u1 tptp.g1 @t103)) % 0.42/0.77 (define @t121 () (= @t120 @t119)) % 0.42/0.77 (define @t122 () (or @t106 @t121)) % 0.42/0.77 (define @t123 () (@list false false)) % 0.42/0.77 (define @t124 () (tptp.g0 @t67)) % 0.42/0.77 (define @t125 () (tptp.u0 (+ -1 @t124) tptp.h0)) % 0.42/0.77 (define @t126 () (= @t103 @t118)) % 0.42/0.77 (define @t127 () (>= tptp.g1 2)) % 0.42/0.77 (define @t128 () (>= @t117 1)) % 0.42/0.77 (define @t129 () (or @t128 @t126)) % 0.42/0.77 (define @t130 () (forall (@list @t95 @t94) (or (>= @t95 1) (= @t94 (tptp.u1 @t95 @t94))))) % 0.42/0.77 (define @t131 () (or @t127 @t126)) % 0.42/0.77 (define @t132 () (* -1 2)) % 0.42/0.77 (define @t133 () (+ @t132 1)) % 0.42/0.77 (define @t134 () (+ @t112 tptp.g1)) % 0.42/0.77 (define @t135 () (and @t127 @t41)) % 0.42/0.77 (define @t136 () (@list true false)) % 0.42/0.77 (define @t137 () (+ @t83 (* @t3 @t3))) % 0.42/0.77 (define @t138 () (= @t33 @t137)) % 0.42/0.77 (define @t139 () (or @t87 @t138)) % 0.42/0.77 (define @t140 () (forall @t12 @t139)) % 0.42/0.77 (define @t141 () (@list @t3)) % 0.42/0.77 (define @t142 () (+ -2 @t33)) % 0.42/0.77 (define @t143 () (= @t3 @t142)) % 0.42/0.77 (define @t144 () (or @t86 @t143)) % 0.42/0.77 (define @t145 () (forall @t12 @t144)) % 0.42/0.77 (define @t146 () (and @t145 @t140)) % 0.42/0.77 (define @t147 () (and (=> @t87 @t143) (=> @t86 @t138))) % 0.42/0.77 (define @t148 () (@list @t118)) % 0.42/0.77 (define @t149 () (* @t118 @t118)) % 0.42/0.77 (define @t150 () (* 2 @t118)) % 0.42/0.77 (define @t151 () (+ @t150 @t149)) % 0.42/0.77 (define @t152 () (= @t119 @t151)) % 0.42/0.77 (define @t153 () (>= @t118 1)) % 0.42/0.77 (define @t154 () (not @t153)) % 0.42/0.77 (define @t155 () (or @t154 @t152)) % 0.42/0.77 (define @t156 () (* 4 @t67)) % 0.42/0.77 (define @t157 () (= @t124 @t156)) % 0.42/0.77 (define @t158 () (= @t103 @t156)) % 0.42/0.77 (define @t159 () (= @t124 @t118)) % 0.42/0.77 (define @t160 () (and @t157 @t158 @t126)) % 0.42/0.77 (define @t161 () (@list false false false)) % 0.42/0.77 (define @t162 () (@list @t157 @t158 @t126)) % 0.42/0.77 (define @t163 () (>= @t124 1)) % 0.42/0.77 (define @t164 () (not @t159)) % 0.42/0.77 (define @t165 () (not @t163)) % 0.42/0.77 (define @t166 () (* -1 0)) % 0.42/0.77 (define @t167 () (+ @t99 @t166 0)) % 0.42/0.77 (define @t168 () (* -1 @t124)) % 0.42/0.77 (define @t169 () (+ @t168 @t118)) % 0.42/0.77 (define @t170 () (* -1 @t118)) % 0.42/0.77 (define @t171 () (+ @t124 @t170)) % 0.42/0.77 (define @t172 () (* -1 @t171)) % 0.42/0.77 (define @t173 () (+ @t170 @t172 @t124)) % 0.42/0.77 (define @t174 () (= @t171 0)) % 0.42/0.77 (define @t175 () (>= @t124 2)) % 0.42/0.77 (define @t176 () (not @t157)) % 0.42/0.77 (define @t177 () (not @t175)) % 0.42/0.77 (define @t178 () (to_int 1/2)) % 0.42/0.77 (define @t179 () (to_real @t67)) % 0.42/0.77 (define @t180 () (* -1 (* -4 @t67))) % 0.42/0.77 (define @t181 () (>= @t180 2)) % 0.42/0.77 (define @t182 () (to_int 1/4)) % 0.42/0.77 (define @t183 () (and @t157 @t177 @t163)) % 0.42/0.77 (define @t184 () (= @t118 0)) % 0.42/0.77 (define @t185 () (+ @t118 @t170)) % 0.42/0.77 (define @t186 () (not @t184)) % 0.42/0.77 (define @t187 () (>= @t149 1)) % 0.42/0.77 (define @t188 () (>= @t149 @t101)) % 0.42/0.77 (define @t189 () (+ -2 @t119)) % 0.42/0.77 (define @t190 () (= @t118 @t189)) % 0.42/0.77 (define @t191 () (* -1 -2)) % 0.42/0.77 (define @t192 () (+ @t132 0 0 0 @t191 @t166 @t99)) % 0.42/0.77 (define @t193 () (* -1 @t103)) % 0.42/0.77 (define @t194 () (* -1 @t149)) % 0.42/0.77 (define @t195 () (* 0 @t67)) % 0.42/0.77 (define @t196 () (= @t195 0)) % 0.42/0.77 (define @t197 () (* 0 @t124)) % 0.42/0.77 (define @t198 () (= @t197 0)) % 0.42/0.77 (define @t199 () (* 0 @t119)) % 0.42/0.77 (define @t200 () (= @t199 0)) % 0.42/0.77 (define @t201 () (+ @t170 @t194 @t150 @t149 @t199 @t193 @t197 @t170 @t195 @t103)) % 0.42/0.77 (define @t202 () (+ @t156 @t168)) % 0.42/0.77 (define @t203 () (* -1 @t202)) % 0.42/0.77 (define @t204 () (* -1 @t119)) % 0.42/0.77 (define @t205 () (+ @t118 @t204)) % 0.42/0.77 (define @t206 () (* -1 @t205)) % 0.42/0.77 (define @t207 () (+ @t156 @t193)) % 0.42/0.77 (define @t208 () (+ @t103 @t170)) % 0.42/0.77 (define @t209 () (+ @t150 @t204 @t149)) % 0.42/0.77 (define @t210 () (+ @t168 @t209 @t208 @t207 @t206 @t203 @t194)) % 0.42/0.77 (define @t211 () (= @t202 0)) % 0.42/0.77 (define @t212 () (= (* -4 (- @t202 0)) (* 4 (- @t124 @t156)))) % 0.42/0.77 (define @t213 () (= @t211 @t157)) % 0.42/0.77 (define @t214 () (= @t205 -2)) % 0.42/0.77 (define @t215 () (= (* 2 (- @t205 -2)) (* 2 (- @t118 @t189)))) % 0.42/0.77 (define @t216 () (= @t214 @t190)) % 0.42/0.77 (define @t217 () (= (* -4 (- @t207 0)) (* 4 (- @t103 @t156)))) % 0.42/0.77 (define @t218 () (= @t207 0)) % 0.42/0.77 (define @t219 () (= @t218 @t158)) % 0.42/0.77 (define @t220 () (= (* 1 (- @t208 0)) (* 1 (- @t103 @t118)))) % 0.42/0.77 (define @t221 () (= @t208 0)) % 0.42/0.77 (define @t222 () (= @t221 @t126)) % 0.42/0.77 (define @t223 () (= (* -2 (- @t209 0)) (* 2 (- @t119 @t151)))) % 0.42/0.77 (define @t224 () (= @t209 0)) % 0.42/0.77 (define @t225 () (= @t224 @t152)) % 0.42/0.77 (define @t226 () (and @t187 @t157 @t190 @t158 @t126 @t152 @t175)) % 0.42/0.77 (define @t227 () (not @t190)) % 0.42/0.77 (define @t228 () (or @t153 @t190)) % 0.42/0.77 (define @t229 () (+ @t120 @t204)) % 0.42/0.77 (define @t230 () (>= @t229 1)) % 0.42/0.77 (define @t231 () (+ @t99 0)) % 0.42/0.77 (define @t232 () (* 0 @t120)) % 0.42/0.77 (define @t233 () (+ @t199 @t232)) % 0.42/0.77 (define @t234 () (* -1 @t229)) % 0.42/0.77 (define @t235 () (+ @t234 @t229)) % 0.42/0.77 (define @t236 () (= (* 1 (- @t229 0)) (* 1 (- @t120 @t119)))) % 0.42/0.77 (define @t237 () (= @t229 0)) % 0.42/0.77 (define @t238 () (= @t237 @t121)) % 0.42/0.77 (define @t239 () (not @t230)) % 0.42/0.77 (define @t240 () (tptp.u0 @t124 tptp.h0)) % 0.42/0.77 (define @t241 () (= tptp.h0 @t240)) % 0.42/0.77 (define @t242 () (not @t241)) % 0.42/0.77 (define @t243 () (= @t77 @t120)) % 0.42/0.77 (define @t244 () (not @t243)) % 0.42/0.77 (define @t245 () (= @t68 @t240)) % 0.42/0.77 (define @t246 () (not @t245)) % 0.42/0.77 (define @t247 () (not @t80)) % 0.42/0.77 (define @t248 () (not @t71)) % 0.42/0.77 (define @t249 () (* -1 @t78)) % 0.42/0.77 (define @t250 () (+ @t69 @t249)) % 0.42/0.77 (define @t251 () (>= @t250 0)) % 0.42/0.77 (define @t252 () (not @t14)) % 0.42/0.77 (define @t253 () (not @t154)) % 0.42/0.77 (define @t254 () (not @t251)) % 0.42/0.77 (define @t255 () (= 2 @t69)) % 0.42/0.77 (define @t256 () (not true)) % 0.42/0.77 (define @t257 () (>= 0 0)) % 0.42/0.77 (define @t258 () (+ @t191 0 -1 @t132 0 1 0)) % 0.42/0.77 (define @t259 () (* -1 @t69)) % 0.42/0.77 (define @t260 () (* -1 @t77)) % 0.42/0.77 (define @t261 () (* -1 @t120)) % 0.42/0.77 (define @t262 () (* 0 @t118)) % 0.42/0.77 (define @t263 () (+ @t199 @t262 @t261 @t120 @t260 @t77 @t259 @t249 @t78 @t69)) % 0.42/0.77 (define @t264 () (+ @t77 @t261)) % 0.42/0.77 (define @t265 () (+ @t78 @t260)) % 0.42/0.77 (define @t266 () (+ @t206 @t265 @t250 @t259 @t264 @t229 @t118)) % 0.42/0.77 (define @t267 () (>= @t266 @t258)) % 0.42/0.77 (define @t268 () (= (* 1 (- @t264 0)) (* 1 (- @t77 @t120)))) % 0.42/0.77 (define @t269 () (= @t264 0)) % 0.42/0.77 (define @t270 () (= @t269 @t243)) % 0.42/0.77 (define @t271 () (= @t69 2)) % 0.42/0.77 (define @t272 () (= (* 1 (- @t265 0)) (* 1 @t79))) % 0.42/0.77 (define @t273 () (= @t265 0)) % 0.42/0.77 (define @t274 () (= @t273 @t80)) % 0.42/0.77 (define @t275 () (and @t154 @t239 @t243 @t255 @t254 @t80 @t190)) % 0.42/0.77 (define @t276 () (forall @t63 (not @t62))) % 0.42/0.77 (define @t277 () (not @t276)) % 0.42/0.77 (define @t278 () (= @t69 @t78)) % 0.42/0.77 (define @t279 () (>= @t67 0)) % 0.42/0.77 (define @t280 () (not @t279)) % 0.42/0.77 (define @t281 () (or @t280 @t278)) % 0.42/0.77 (define @t282 () (not @t278)) % 0.42/0.77 (define @t283 () (@list true)) % 0.42/0.77 (define @t284 () (@list @t281)) % 0.42/0.77 (define @t285 () (>= @t250 1)) % 0.42/0.77 (define @t286 () (not @t285)) % 0.42/0.77 (define @t287 () (= @t250 0)) % 0.42/0.77 (define @t288 () (and @t282 @t286)) % 0.42/0.77 (define @t289 () (* 1/4 0/1)) % 0.42/0.77 (define @t290 () (* 1/4 -2/1)) % 0.42/0.77 (define @t291 () (* -1/4 0/1)) % 0.42/0.77 (define @t292 () (* -1/4 1/1)) % 0.42/0.77 (define @t293 () (* 1/4 2/1)) % 0.42/0.77 (define @t294 () (to_real 0)) % 0.42/0.77 (define @t295 () (to_real @t166)) % 0.42/0.77 (define @t296 () (+ @t295 @t291 @t293 @t292 @t291 @t291 @t290 @t289 @t289)) % 0.42/0.77 (define @t297 () (to_real @t118)) % 0.42/0.77 (define @t298 () (to_real @t103)) % 0.42/0.77 (define @t299 () (+ (* 1/4 @t298) (* -1/4 @t297))) % 0.42/0.77 (define @t300 () (+ @t179 (* -1/4 @t298))) % 0.42/0.77 (define @t301 () (to_real @t119)) % 0.42/0.77 (define @t302 () (+ (* 1/4 @t297) (* -1/4 @t301))) % 0.42/0.77 (define @t303 () (to_real @t120)) % 0.42/0.77 (define @t304 () (+ (* -1/4 @t303) (* 1/4 @t301))) % 0.42/0.77 (define @t305 () (to_real @t77)) % 0.42/0.77 (define @t306 () (to_real @t78)) % 0.42/0.77 (define @t307 () (+ (* -1/4 @t306) (* 1/4 @t305))) % 0.42/0.77 (define @t308 () (to_real @t69)) % 0.42/0.77 (define @t309 () (+ (* -1/4 @t308) (* 1/4 @t306))) % 0.42/0.77 (define @t310 () (* 1/4 @t308)) % 0.42/0.77 (define @t311 () (+ (* -1/4 @t305) (* 1/4 @t303))) % 0.42/0.77 (define @t312 () (* -1 @t67)) % 0.42/0.77 (define @t313 () (to_real @t312)) % 0.42/0.77 (define @t314 () (to_real @t208)) % 0.42/0.77 (define @t315 () (* 1/4 @t314)) % 0.42/0.77 (define @t316 () (to_real @t207)) % 0.42/0.77 (define @t317 () (* 1/4 @t316)) % 0.42/0.77 (define @t318 () (to_real @t205)) % 0.42/0.77 (define @t319 () (* 1/4 @t318)) % 0.42/0.77 (define @t320 () (to_real @t229)) % 0.42/0.77 (define @t321 () (* -1/4 @t320)) % 0.42/0.77 (define @t322 () (to_real @t265)) % 0.42/0.77 (define @t323 () (* -1/4 @t322)) % 0.42/0.77 (define @t324 () (to_real @t250)) % 0.42/0.77 (define @t325 () (* -1/4 @t324)) % 0.42/0.77 (define @t326 () (to_real @t264)) % 0.42/0.77 (define @t327 () (* -1/4 @t326)) % 0.42/0.77 (define @t328 () (+ @t313 @t327 @t310 @t325 @t323 @t321 @t319 @t317 @t315)) % 0.42/0.77 (define @t329 () (> 1/4 0/1)) % 0.42/0.77 (define @t330 () (< -1/4 0/1)) % 0.42/0.77 (define @t331 () (to_real 1)) % 0.42/0.77 (define @t332 () (>= @t324 @t331)) % 0.42/0.77 (define @t333 () (and @t126 @t158 @t190 @t121 @t80 @t285 @t255 @t243 @t279)) % 0.42/0.77 (define @t334 () (= @t18 (tptp.f0 (tptp.u0 @t84 @t1) @t3))) % 0.42/0.77 (define @t335 () (or @t87 @t334)) % 0.42/0.77 (define @t336 () (forall @t6 @t335)) % 0.42/0.77 (define @t337 () (= @t1 @t18)) % 0.42/0.77 (define @t338 () (or @t86 @t337)) % 0.42/0.77 (define @t339 () (forall @t6 @t338)) % 0.42/0.77 (define @t340 () (and @t339 @t336)) % 0.42/0.77 (define @t341 () (and (=> @t87 @t337) (=> @t86 @t334))) % 0.42/0.77 (define @t342 () (@list @t124 tptp.h0)) % 0.42/0.77 (define @t343 () (or @t163 @t241)) % 0.42/0.77 (define @t344 () (not @t126)) % 0.42/0.77 (define @t345 () (not @t158)) % 0.42/0.77 (define @t346 () (< @t118 1)) % 0.42/0.77 (define @t347 () (+ 1 @t166 0 0 @t99)) % 0.42/0.77 (define @t348 () (+ @t170 @t193 @t197 @t118 @t195 @t103)) % 0.42/0.77 (define @t349 () (+ @t118 @t203 @t208 @t207 @t168)) % 0.42/0.77 (define @t350 () (>= @t349 @t347)) % 0.42/0.77 (define @t351 () (and @t163 @t158 @t126 @t157 @t154)) % 0.42/0.77 (define @t352 () (tptp.f0 @t125 @t124)) % 0.42/0.77 (define @t353 () (= @t240 @t352)) % 0.42/0.77 (define @t354 () (or @t165 @t353)) % 0.42/0.77 (define @t355 () (* @t124 @t124)) % 0.42/0.77 (define @t356 () (= @t355 @t149)) % 0.42/0.77 (define @t357 () (not @t356)) % 0.42/0.77 (define @t358 () (= @t124 @t103)) % 0.42/0.77 (define @t359 () (and @t357 @t126 @t358)) % 0.42/0.77 (define @t360 () (= true false)) % 0.42/0.77 (define @t361 () (* 2 @t124)) % 0.42/0.77 (define @t362 () (+ @t361 @t355)) % 0.42/0.77 (define @t363 () (= @t352 @t362)) % 0.42/0.77 (define @t364 () (< @t250 0)) % 0.42/0.77 (define @t365 () (* 2 0)) % 0.42/0.77 (define @t366 () (* -2 0)) % 0.42/0.77 (define @t367 () (+ 0 @t166 @t366 @t166 0 0 0 @t366 @t365 0 @t166 @t166 @t166)) % 0.42/0.77 (define @t368 () (* -1 @t68)) % 0.42/0.77 (define @t369 () (* -1 @t240)) % 0.42/0.77 (define @t370 () (* -2 @t103)) % 0.42/0.77 (define @t371 () (* -2 @t124)) % 0.42/0.77 (define @t372 () (* 2 @t103)) % 0.42/0.77 (define @t373 () (* -2 @t118)) % 0.42/0.77 (define @t374 () (* 0 @t69)) % 0.42/0.77 (define @t375 () (= @t374 0)) % 0.42/0.77 (define @t376 () (* 0 @t352)) % 0.42/0.77 (define @t377 () (= @t376 0)) % 0.42/0.77 (define @t378 () (* 0 @t355)) % 0.42/0.77 (define @t379 () (= @t378 0)) % 0.42/0.77 (define @t380 () (+ @t150 @t149 @t373 @t194 @t361 @t378 @t199 @t372 @t376 @t371 @t195 @t261 @t240 @t120 @t370 @t369 @t260 @t68 @t77 @t368 @t249 @t78 @t374)) % 0.42/0.77 (define @t381 () (* -1 @t352)) % 0.42/0.77 (define @t382 () (+ @t240 @t381)) % 0.42/0.77 (define @t383 () (+ @t69 @t368)) % 0.42/0.77 (define @t384 () (+ @t68 @t369)) % 0.42/0.77 (define @t385 () (+ @t361 @t381 @t355)) % 0.42/0.77 (define @t386 () (+ @t355 @t194)) % 0.42/0.77 (define @t387 () (+ @t250 (* -1 @t386) (* -2 @t208) (* -1 @t209) @t229 @t265 @t264 (* -2 @t207) (* 2 @t202) @t385 (* -1 @t384) (* -1 @t383) (* -1 @t382))) % 0.42/0.77 (define @t388 () (>= @t387 @t367)) % 0.42/0.77 (define @t389 () (= @t382 0)) % 0.42/0.77 (define @t390 () (= (* 1 (- @t382 0)) (* 1 (- @t240 @t352)))) % 0.42/0.77 (define @t391 () (= @t389 @t353)) % 0.42/0.77 (define @t392 () (= @t383 0)) % 0.42/0.77 (define @t393 () (= (* 1 (- @t383 0)) (* 1 @t70))) % 0.42/0.77 (define @t394 () (= @t392 @t71)) % 0.42/0.77 (define @t395 () (= @t384 0)) % 0.42/0.77 (define @t396 () (= (* 1 (- @t384 0)) (* 1 (- @t68 @t240)))) % 0.42/0.77 (define @t397 () (= @t395 @t245)) % 0.42/0.77 (define @t398 () (= (* -2 (- @t385 0)) (* 2 (- @t352 @t362)))) % 0.42/0.77 (define @t399 () (= @t385 0)) % 0.42/0.77 (define @t400 () (= @t399 @t363)) % 0.42/0.77 (define @t401 () (> 2 0)) % 0.42/0.77 (define @t402 () (< -2 0)) % 0.42/0.77 (define @t403 () (= @t386 0)) % 0.42/0.77 (define @t404 () (= (* 1 (- @t386 0)) (* 1 (- @t355 @t149)))) % 0.42/0.77 (define @t405 () (= @t403 @t356)) % 0.42/0.77 (define @t406 () (and @t71 @t80 @t245 @t243 @t157 @t353 @t158 @t121 @t363 @t152 @t126 @t356)) % 0.42/0.77 (define @t407 () (+ @t99 @t365 0 @t166 @t166 @t166 @t365 0 @t366 @t166 0 0 0)) % 0.42/0.77 (define @t408 () (+ @t373 @t194 @t150 @t149 @t371 @t378 @t199 @t370 @t376 @t361 @t195 @t120 @t369 @t261 @t372 @t240 @t77 @t368 @t260 @t68 @t78 @t249 @t374)) % 0.42/0.77 (define @t409 () (+ (* -1 @t250) (* 2 @t208) @t209 @t234 (* -1 @t265) (* -1 @t264) (* 2 @t207) @t386 (* -2 @t202) (* -1 @t385) @t384 @t383 @t382)) % 0.42/0.77 (define @t410 () (and @t353 @t71 @t245 @t363 @t157 @t356 @t158 @t243 @t80 @t121 @t152 @t126 @t285)) % 0.42/0.77 (assume @p1 @t7) % 0.42/0.77 (assume @p2 @t13) % 0.42/0.77 (assume @p3 @t14) % 0.42/0.77 (assume @p4 @t26) % 0.42/0.77 (assume @p5 (forall @t12 (= @t27 (tptp.u0 @t10 tptp.h0)))) % 0.42/0.77 (assume @p6 @t30) % 0.42/0.77 (assume @p7 @t40) % 0.42/0.77 (assume @p8 @t41) % 0.42/0.77 (assume @p9 @t44) % 0.42/0.77 (assume @p10 @t53) % 0.42/0.77 (assume @p11 (forall @t12 (= @t54 (tptp.u1 tptp.g1 @t42)))) % 0.42/0.77 (assume @p12 @t57) % 0.42/0.77 (assume @p13 (not (not @t64))) % 0.42/0.77 (assume @p14 true) % 0.42/0.77 (step @p15 :rule arith_poly_norm :args ((= (* 1 (- @t28 @t27)) (* -1 (- @t27 @t28))))) % 0.42/0.77 (step @p16 :rule arith_poly_norm_rel :premises (@p15) :args ((= @t29 @t65))) % 0.42/0.77 (step @p17 :rule cong :premises (@p16) :args (@t30)) % 0.42/0.77 (step @p18 :rule eq_resolve :premises (@p6 @p17)) % 0.42/0.77 (step @p19 :rule arith_poly_norm :args ((= (* 1 (- @t68 @t69)) (* -1 @t70)))) % 0.42/0.77 (step @p20 :rule arith_poly_norm_rel :premises (@p19) :args ((= @t72 @t71))) % 0.42/0.77 (step @p21 :rule refl :args (@t73)) % 0.42/0.77 (step @p22 :rule cong :premises (@p21 @p20) :args ((=> @t73 @t72))) % 0.42/0.77 (assume-push @p1348 @t73) % 0.42/0.77 (step @p24 :rule instantiate :premises (@p18) :args (@t74)) % 0.42/0.77 (step-pop @p1349 :rule scope :premises (@p24)) % 0.42/0.77 (step @p25 :rule process_scope :premises (@p1349) :args (@t72)) % 0.42/0.77 (step @p27 :rule eq_resolve :premises (@p25 @p22)) % 0.42/0.77 (step @p28 :rule implies_elim :premises (@p27)) % 0.42/0.77 (step @p29 :rule chain_m_resolution :premises (@p28 @p18) :args (@t71 @t75 (@list @t73))) % 0.42/0.77 (step @p30 :rule arith_poly_norm :args ((= (* 1 (- @t55 @t54)) (* -1 (- @t54 @t55))))) % 0.42/0.77 (step @p31 :rule arith_poly_norm_rel :premises (@p30) :args ((= @t56 @t76))) % 0.42/0.77 (step @p32 :rule cong :premises (@p31) :args (@t57)) % 0.42/0.77 (step @p33 :rule eq_resolve :premises (@p12 @p32)) % 0.42/0.77 (step @p34 :rule arith_poly_norm :args ((= (* 1 (- @t77 @t78)) (* -1 @t79)))) % 0.42/0.77 (step @p35 :rule arith_poly_norm_rel :premises (@p34) :args ((= @t81 @t80))) % 0.42/0.77 (step @p36 :rule refl :args (@t82)) % 0.42/0.77 (step @p37 :rule cong :premises (@p36 @p35) :args ((=> @t82 @t81))) % 0.42/0.77 (assume-push @p1350 @t82) % 0.42/0.77 (step @p39 :rule instantiate :premises (@p33) :args (@t74)) % 0.42/0.77 (step-pop @p1351 :rule scope :premises (@p39)) % 0.42/0.77 (step @p40 :rule process_scope :premises (@p1351) :args (@t81)) % 0.42/0.77 (step @p42 :rule eq_resolve :premises (@p40 @p37)) % 0.42/0.77 (step @p43 :rule implies_elim :premises (@p42)) % 0.42/0.77 (step @p44 :rule chain_m_resolution :premises (@p43 @p33) :args (@t80 @t75 (@list @t82))) % 0.42/0.77 (step @p45 :rule instantiate :premises (@p5) :args (@t74)) % 0.42/0.77 (step @p46 :rule instantiate :premises (@p11) :args (@t74)) % 0.42/0.77 (step @p47 :rule arith_poly_norm :args ((= (* 2 @t83) (* 4 @t3)))) % 0.42/0.77 (step @p48 :rule arith_poly_norm :args ((= @t8 @t83))) % 0.42/0.77 (step @p49 :rule refl :args (2)) % 0.42/0.77 (step @p50 :rule nary_cong :premises (@p49 @p48) :args (@t9)) % 0.42/0.77 (step @p51 :rule trans :premises (@p50 @p47)) % 0.42/0.77 (step @p52 :rule refl :args (@t10)) % 0.42/0.77 (step @p53 :rule cong :premises (@p52 @p51) :args (@t11)) % 0.42/0.77 (step @p54 :rule cong :premises (@p53) :args (@t13)) % 0.42/0.77 (step @p55 :rule eq_resolve :premises (@p2 @p54)) % 0.42/0.77 (step @p56 :rule instantiate :premises (@p55) :args (@t74)) % 0.42/0.77 (step @p57 :rule refl :args (@t42)) % 0.42/0.77 (step @p58 :rule cong :premises (@p57 @p51) :args (@t43)) % 0.42/0.77 (step @p59 :rule cong :premises (@p58) :args (@t44)) % 0.42/0.77 (step @p60 :rule eq_resolve :premises (@p9 @p59)) % 0.42/0.77 (step @p61 :rule instantiate :premises (@p60) :args (@t74)) % 0.42/0.77 (step @p62 :rule alpha_equiv :args (@t89 @t90 (@list (@var "BOUND_VARIABLE_7631" Int) (@var "BOUND_VARIABLE_7633" Int)))) % 0.42/0.77 (step @p63 :rule alpha_equiv :args (@t93 @t90 (@list @t95 @t94))) % 0.42/0.77 (step @p64 :rule nary_cong :premises (@p63 @p62) :args (@t96)) % 0.42/0.77 (step @p65 :rule quant-miniscope-and :args ((= (forall @t6 (and @t92 @t88)) @t96))) % 0.42/0.77 (step @p66 :rule trans :premises (@p65 @p64)) % 0.42/0.77 (step @p67 :rule bool-impl-elim :args (@t86 @t85)) % 0.42/0.77 (step @p68 :rule refl :args (@t91)) % 0.42/0.77 (step @p69 :rule bool-double-not-elim :args (@t86)) % 0.42/0.77 (step @p70 :rule nary_cong :premises (@p69 @p68) :args ((or @t97 @t91))) % 0.42/0.77 (step @p71 :rule bool-impl-elim :args (@t87 @t91)) % 0.42/0.77 (step @p72 :rule trans :premises (@p71 @p70)) % 0.42/0.77 (step @p73 :rule nary_cong :premises (@p72 @p67) :args (@t98)) % 0.42/0.77 (step @p74 :rule cong :premises (@p73) :args ((forall @t6 @t98))) % 0.42/0.77 (step @p75 :rule trans :premises (@p74 @p66)) % 0.42/0.77 (step @p76 :rule refl :args (@t1)) % 0.42/0.77 (step @p77 :rule arith_poly_norm :args ((= (+ @t3 -1) @t84))) % 0.42/0.77 (step @p78 :rule evaluate :args (@t99)) % 0.42/0.77 (step @p79 :rule refl :args (@t3)) % 0.42/0.77 (step @p80 :rule nary_cong :premises (@p79 @p78) :args (@t100)) % 0.42/0.77 (step @p81 :rule trans :premises (@p80 @p77)) % 0.42/0.77 (step @p82 :rule arith_poly_norm :args ((= @t15 @t100))) % 0.42/0.77 (step @p83 :rule trans :premises (@p82 @p81)) % 0.42/0.77 (step @p84 :rule cong :premises (@p83 @p76) :args (@t45)) % 0.42/0.77 (step @p85 :rule cong :premises (@p84) :args (@t46)) % 0.42/0.77 (step @p86 :rule refl :args (@t47)) % 0.42/0.77 (step @p87 :rule cong :premises (@p86 @p85) :args (@t48)) % 0.42/0.77 (step @p88 :rule bool-double-not-elim :args (@t86)) % 0.42/0.77 (step @p89 :rule evaluate :args (@t101)) % 0.42/0.77 (step @p90 :rule refl :args (@t3)) % 0.42/0.77 (step @p91 :rule cong :premises (@p90 @p89) :args (@t102)) % 0.42/0.77 (step @p92 :rule cong :premises (@p91) :args ((not @t102))) % 0.42/0.77 (step @p93 :rule arith-leq-norm :args (@t3 0)) % 0.42/0.77 (step @p94 :rule trans :premises (@p93 @p92)) % 0.42/0.77 (step @p95 :rule cong :premises (@p94) :args (@t21)) % 0.42/0.77 (step @p96 :rule trans :premises (@p95 @p88)) % 0.42/0.77 (step @p97 :rule cong :premises (@p96 @p87) :args (@t49)) % 0.42/0.77 (step @p98 :rule arith_poly_norm :args ((= (* 1 (- @t47 @t1)) (* -1 (- @t1 @t47))))) % 0.42/0.77 (step @p99 :rule arith_poly_norm_rel :premises (@p98) :args ((= @t50 @t91))) % 0.42/0.77 (step @p100 :rule cong :premises (@p94 @p99) :args (@t51)) % 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@p1191 @p1187 @p627 @p615 @p1186 @p1181 @p1176 @p1172 @p1165 @p1158)) % 0.42/0.77 (step @p1204 false :rule eq_resolve :premises (@p1203 @p1151)) % 0.42/0.77 (step-pop @p1643 :rule scope :premises (@p1204)) % 0.42/0.77 (step @p1205 :rule process_scope :premises (@p1643) :args (false)) % 0.42/0.77 (step @p1207 :rule eq_resolve :premises (@p1205 @p1122)) % 0.42/0.77 (step-pop @p1644 :rule scope :premises (@p1207)) % 0.42/0.77 (step-pop @p1645 :rule scope :premises (@p1644)) % 0.42/0.77 (step-pop @p1646 :rule scope :premises (@p1645)) % 0.42/0.77 (step-pop @p1647 :rule scope :premises (@p1646)) % 0.42/0.77 (step-pop @p1648 :rule scope :premises (@p1647)) % 0.42/0.77 (step-pop @p1649 :rule scope :premises (@p1648)) % 0.42/0.77 (step-pop @p1650 :rule scope :premises (@p1649)) % 0.42/0.77 (step-pop @p1651 :rule scope :premises (@p1650)) % 0.42/0.77 (step-pop @p1652 :rule scope :premises (@p1651)) % 0.42/0.77 (step-pop @p1653 :rule scope :premises (@p1652)) % 0.42/0.77 (step-pop @p1654 :rule 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:rule scope :premises (@p1665)) % 0.42/0.77 (step-pop @p1667 :rule scope :premises (@p1666)) % 0.42/0.77 (step @p1223 :rule process_scope :premises (@p1667) :args (@t251)) % 0.42/0.77 (step @p1236 :rule implies_elim :premises (@p1223)) % 0.42/0.77 (step @p1237 :rule cnf_and_neg :args (@t406)) % 0.42/0.77 (step @p1238 :rule resolution :premises (@p1237 @p1236) :args (true @t406)) % 0.42/0.77 (step @p1239 :rule reordering :premises (@p1238) :args ((or @t251 @t248 @t247 @t246 @t244 @t176 (not @t353) @t345 (not @t121) (not @t363) (not @t152) @t344 @t357))) % 0.42/0.77 (step @p1240 :rule chain_m_resolution :premises (@p1239 @p29 @p44 @p45 @p46 @p56 @p1056 @p61 @p171 @p177 @p1050 @p234 @p1096) :args (@t251 (@list false false false false false false false false false false false false) (@list @t71 @t80 @t245 @t243 @t157 @t353 @t158 @t121 @t363 @t152 @t126 @t356))) % 0.42/0.77 (step @p1241 :rule chain_m_resolution :premises (@p731 @p700 @p1240) :args (@t285 @t136 (@list @t278 @t251))) % 0.42/0.77 (assume-push @p1668 @t353) % 0.42/0.77 (assume-push @p1669 @t71) % 0.42/0.77 (assume-push @p1670 @t245) % 0.42/0.77 (assume-push @p1671 @t363) % 0.42/0.77 (assume-push @p1672 @t157) % 0.42/0.77 (assume-push @p1673 @t356) % 0.42/0.77 (assume-push @p1674 @t158) % 0.42/0.77 (assume-push @p1675 @t243) % 0.42/0.77 (assume-push @p1676 @t80) % 0.42/0.77 (assume-push @p1677 @t121) % 0.42/0.77 (assume-push @p1678 @t152) % 0.42/0.77 (assume-push @p1679 @t126) % 0.42/0.77 (assume-push @p1680 @t285) % 0.42/0.77 (step @p709 :rule arith-elim-lt :args (@t250 1)) % 0.42/0.77 (step @p710 :rule symm :premises (@p709)) % 0.42/0.77 (assume-push @p1681 @t285) % 0.42/0.77 (step @p136 :rule evaluate :args (@t109)) % 0.42/0.77 (step @p1256 :rule evaluate :args ((+ -1 0 0 0 0 0 0 0 0 0 0 0 0))) % 0.42/0.77 (step @p138 :rule refl :args (0)) % 0.42/0.77 (step @p298 :rule evaluate :args (@t166)) % 0.42/0.77 (step @p1126 :rule evaluate :args (@t366)) % 0.42/0.77 (step @p1125 :rule evaluate :args (@t365)) % 0.42/0.77 (step @p1257 :rule nary_cong :premises (@p78 @p1125 @p138 @p298 @p298 @p298 @p1125 @p138 @p1126 @p298 @p138 @p138 @p138) :args (@t407)) % 0.42/0.77 (step @p1258 :rule trans :premises (@p1257 @p1256)) % 0.42/0.77 (step @p1259 :rule arith_poly_norm :args ((= (+ @t373 @t194 @t150 @t149 @t371 0 0 @t370 0 @t361 0 @t120 @t369 @t261 @t372 @t240 @t77 @t368 @t260 @t68 @t78 @t249 0) 0))) % 0.42/0.77 (step @p1130 :rule arith_poly_norm :args (@t375)) % 0.42/0.77 (step @p590 :rule refl :args (@t249)) % 0.42/0.77 (step @p589 :rule refl :args (@t78)) % 0.42/0.77 (step @p1132 :rule refl :args (@t68)) % 0.42/0.77 (step @p593 :rule refl :args (@t260)) % 0.42/0.77 (step @p1131 :rule refl :args (@t368)) % 0.42/0.77 (step @p592 :rule refl :args (@t77)) % 0.42/0.77 (step @p1135 :rule refl :args (@t240)) % 0.42/0.77 (step @p1138 :rule refl :args (@t372)) % 0.42/0.77 (step @p595 :rule refl :args (@t261)) % 0.42/0.77 (step @p1133 :rule refl :args (@t369)) % 0.42/0.77 (step @p594 :rule refl :args (@t120)) % 0.42/0.77 (step @p444 :rule arith_poly_norm :args (@t196)) % 0.42/0.77 (step @p1140 :rule refl :args (@t361)) % 0.42/0.77 (step @p1137 :rule arith_poly_norm :args (@t377)) % 0.42/0.77 (step @p1134 :rule refl :args (@t370)) % 0.42/0.77 (step @p447 :rule arith_poly_norm :args (@t200)) % 0.42/0.77 (step @p1139 :rule arith_poly_norm :args (@t379)) % 0.42/0.77 (step @p1136 :rule refl :args (@t371)) % 0.42/0.77 (step @p448 :rule refl :args (@t149)) % 0.42/0.77 (step @p449 :rule refl :args (@t150)) % 0.42/0.77 (step @p450 :rule refl :args (@t194)) % 0.42/0.77 (step @p1141 :rule refl :args (@t373)) % 0.42/0.77 (step @p1260 :rule nary_cong :premises (@p1141 @p450 @p449 @p448 @p1136 @p1139 @p447 @p1134 @p1137 @p1140 @p444 @p594 @p1133 @p595 @p1138 @p1135 @p592 @p1131 @p593 @p1132 @p589 @p590 @p1130) :args (@t408)) % 0.42/0.77 (step @p1261 :rule trans :premises (@p1260 @p1259)) % 0.42/0.77 (step @p1262 :rule arith_poly_norm :args ((= @t409 @t408))) % 0.42/0.77 (step @p1263 :rule trans :premises (@p1262 @p1261)) % 0.42/0.77 (step @p1264 :rule cong :premises (@p1263 @p1258) :args ((<= @t409 @t407))) % 0.42/0.77 (step @p1265 :rule trans :premises (@p1264 @p136)) % 0.42/0.77 (step @p1153 :rule arith_poly_norm :args (@t390)) % 0.42/0.77 (step @p1154 :rule arith_poly_norm_rel :premises (@p1153) :args (@t391)) % 0.42/0.77 (step @p1155 :rule symm :premises (@p1154)) % 0.42/0.77 (step @p1266 :rule eq_resolve :premises (@p1668 @p1155)) % 0.42/0.77 (step @p1160 :rule arith_poly_norm :args (@t393)) % 0.42/0.77 (step @p1161 :rule arith_poly_norm_rel :premises (@p1160) :args (@t394)) % 0.42/0.77 (step @p1162 :rule symm :premises (@p1161)) % 0.42/0.77 (step @p1163 :rule eq_resolve :premises (@p29 @p1162)) % 0.42/0.77 (step @p1167 :rule arith_poly_norm :args (@t396)) % 0.42/0.77 (step @p1168 :rule arith_poly_norm_rel :premises (@p1167) :args (@t397)) % 0.42/0.77 (step @p1169 :rule symm :premises (@p1168)) % 0.42/0.77 (step @p1170 :rule eq_resolve :premises (@p45 @p1169)) % 0.42/0.77 (step @p1267 :rule arith_mult_neg :args (-1 @t399)) % 0.42/0.77 (step @p1173 :rule arith_poly_norm :args (@t398)) % 0.42/0.77 (step @p1174 :rule arith_poly_norm_rel :premises (@p1173) :args (@t400)) % 0.42/0.77 (step @p1175 :rule symm :premises (@p1174)) % 0.42/0.77 (step @p1176 :rule eq_resolve :premises (@p177 @p1175)) % 0.42/0.77 (step @p145 :rule evaluate :args (@t114)) % 0.42/0.77 (step @p146 :rule true_elim :premises (@p145)) % 0.42/0.77 (step @p1268 :rule and_intro :premises (@p146 @p1176)) % 0.42/0.77 (step @p1269 :rule modus_ponens :premises (@p1268 @p1267)) % 0.42/0.77 (step @p1270 :rule arith_mult_neg :args (-2 @t211)) % 0.42/0.77 (step @p461 :rule arith_poly_norm :args (@t212)) % 0.42/0.77 (step @p462 :rule arith_poly_norm_rel :premises (@p461) :args (@t213)) % 0.42/0.77 (step @p463 :rule symm :premises (@p462)) % 0.42/0.77 (step @p464 :rule eq_resolve :premises (@p56 @p463)) % 0.42/0.77 (step @p1183 :rule evaluate :args (@t402)) % 0.42/0.77 (step @p1184 :rule true_elim :premises (@p1183)) % 0.42/0.77 (step @p1271 :rule and_intro :premises (@p1184 @p464)) % 0.42/0.77 (step @p1272 :rule modus_ponens :premises (@p1271 @p1270)) % 0.42/0.77 (step @p1197 :rule arith_poly_norm :args (@t404)) % 0.42/0.77 (step @p1198 :rule arith_poly_norm_rel :premises (@p1197) :args (@t405)) % 0.42/0.77 (step @p1199 :rule symm :premises (@p1198)) % 0.42/0.77 (step @p1273 :rule eq_resolve :premises (@p1673 @p1199)) % 0.42/0.77 (step @p1274 :rule arith_mult_pos :args (2 @t218)) % 0.42/0.77 (step @p474 :rule arith_poly_norm :args (@t217)) % 0.42/0.77 (step @p475 :rule arith_poly_norm_rel :premises (@p474) :args (@t219)) % 0.42/0.77 (step @p476 :rule symm :premises (@p475)) % 0.42/0.77 (step @p477 :rule eq_resolve :premises (@p61 @p476)) % 0.42/0.77 (step @p1178 :rule evaluate :args (@t401)) % 0.42/0.77 (step @p1179 :rule true_elim :premises (@p1178)) % 0.42/0.77 (step @p1275 :rule and_intro :premises (@p1179 @p477)) % 0.42/0.77 (step @p1276 :rule modus_ponens :premises (@p1275 @p1274)) % 0.42/0.77 (step @p1277 :rule arith_mult_neg :args (-1 @t269)) % 0.42/0.77 (step @p612 :rule arith_poly_norm :args (@t268)) % 0.42/0.77 (step @p613 :rule arith_poly_norm_rel :premises (@p612) :args (@t270)) % 0.42/0.77 (step @p614 :rule symm :premises (@p613)) % 0.42/0.77 (step @p615 :rule eq_resolve :premises (@p46 @p614)) % 0.42/0.77 (step @p1278 :rule and_intro :premises (@p146 @p615)) % 0.42/0.77 (step @p1279 :rule modus_ponens :premises (@p1278 @p1277)) % 0.42/0.77 (step @p1280 :rule arith_mult_neg :args (-1 @t273)) % 0.42/0.77 (step @p624 :rule arith_poly_norm :args (@t272)) % 0.42/0.77 (step @p625 :rule arith_poly_norm_rel :premises (@p624) :args (@t274)) % 0.42/0.77 (step @p626 :rule symm :premises (@p625)) % 0.42/0.77 (step @p627 :rule eq_resolve :premises (@p44 @p626)) % 0.42/0.77 (step @p1281 :rule and_intro :premises (@p146 @p627)) % 0.42/0.77 (step @p1282 :rule modus_ponens :premises (@p1281 @p1280)) % 0.42/0.77 (step @p1283 :rule arith_mult_neg :args (-1 @t237)) % 0.42/0.77 (step @p542 :rule arith_poly_norm :args (@t236)) % 0.42/0.77 (step @p543 :rule arith_poly_norm_rel :premises (@p542) :args (@t238)) % 0.42/0.77 (step @p544 :rule symm :premises (@p543)) % 0.42/0.77 (step @p1284 :rule eq_resolve :premises (@p1677 @p544)) % 0.42/0.77 (step @p1285 :rule and_intro :premises (@p146 @p1284)) % 0.42/0.77 (step @p1286 :rule modus_ponens :premises (@p1285 @p1283)) % 0.42/0.77 (step @p482 :rule arith_poly_norm :args (@t223)) % 0.42/0.77 (step @p483 :rule arith_poly_norm_rel :premises (@p482) :args (@t225)) % 0.42/0.77 (step @p484 :rule symm :premises (@p483)) % 0.42/0.77 (step @p1287 :rule eq_resolve :premises (@p1678 @p484)) % 0.42/0.77 (step @p1288 :rule arith_mult_pos :args (2 @t221)) % 0.42/0.77 (step @p478 :rule arith_poly_norm :args (@t220)) % 0.42/0.77 (step @p479 :rule arith_poly_norm_rel :premises (@p478) :args (@t222)) % 0.42/0.77 (step @p480 :rule symm :premises (@p479)) % 0.42/0.77 (step @p1289 :rule eq_resolve :premises (@p1679 @p480)) % 0.42/0.77 (step @p1290 :rule and_intro :premises (@p1179 @p1289)) % 0.42/0.77 (step @p1291 :rule modus_ponens :premises (@p1290 @p1288)) % 0.42/0.77 (step @p1292 :rule arith_mult_neg :args (-1 @t285)) % 0.42/0.77 (step @p1293 :rule and_intro :premises (@p146 @p1680)) % 0.42/0.77 (step @p1294 :rule modus_ponens :premises (@p1293 @p1292)) % 0.42/0.77 (step @p1295 :rule arith_sum_ub :premises (@p1294 @p1291 @p1287 @p1286 @p1282 @p1279 @p1276 @p1273 @p1272 @p1269 @p1170 @p1163 @p1266)) % 0.42/0.77 (step @p1296 false :rule eq_resolve :premises (@p1295 @p1265)) % 0.42/0.77 (step-pop @p1682 :rule scope :premises (@p1296)) % 0.42/0.77 (step @p1297 :rule process_scope :premises (@p1682) :args (false)) % 0.42/0.77 (step @p1299 :rule eq_resolve :premises (@p1297 @p710)) % 0.42/0.77 (step @p1300 :rule eq_resolve :premises (@p1299 @p709)) % 0.42/0.77 (step @p1301 false :rule contra :premises (@p1680 @p1300)) % 0.42/0.77 (step-pop @p1683 :rule scope :premises (@p1301)) % 0.42/0.77 (step-pop @p1684 :rule scope :premises (@p1683)) % 0.42/0.77 (step-pop @p1685 :rule scope :premises (@p1684)) % 0.42/0.77 (step-pop @p1686 :rule scope :premises (@p1685)) % 0.42/0.77 (step-pop @p1687 :rule scope :premises (@p1686)) % 0.42/0.77 (step-pop @p1688 :rule scope :premises (@p1687)) % 0.42/0.77 (step-pop @p1689 :rule scope :premises (@p1688)) % 0.42/0.77 (step-pop @p1690 :rule scope :premises (@p1689)) % 0.42/0.77 (step-pop @p1691 :rule scope :premises (@p1690)) % 0.42/0.77 (step-pop @p1692 :rule scope :premises (@p1691)) % 0.42/0.77 (step-pop @p1693 :rule scope :premises (@p1692)) % 0.42/0.77 (step-pop @p1694 :rule scope :premises (@p1693)) % 0.42/0.77 (step-pop @p1695 :rule scope :premises (@p1694)) % 0.42/0.77 (step @p1302 :rule process_scope :premises (@p1695) :args (false)) % 0.42/0.77 (assume-push @p1696 @t285) % 0.42/0.77 (assume-push @p1697 @t71) % 0.42/0.77 (assume-push @p1698 @t80) % 0.42/0.77 (assume-push @p1699 @t245) % 0.42/0.77 (assume-push @p1700 @t243) % 0.42/0.77 (assume-push @p1701 @t157) % 0.42/0.77 (assume-push @p1702 @t353) % 0.42/0.77 (assume-push @p1703 @t158) % 0.42/0.77 (assume-push @p1704 @t121) % 0.42/0.77 (assume-push @p1705 @t363) % 0.42/0.77 (assume-push @p1706 @t152) % 0.42/0.77 (assume-push @p1707 @t126) % 0.42/0.77 (assume-push @p1708 @t356) % 0.42/0.77 (step @p1329 :rule and_intro :premises (@p1702 @p29 @p45 @p177 @p56 @p1708 @p61 @p46 @p44 @p1704 @p1706 @p1707 @p1696)) % 0.42/0.77 (step-pop @p1709 :rule scope :premises (@p1329)) % 0.42/0.77 (step-pop @p1710 :rule scope :premises (@p1709)) % 0.42/0.77 (step-pop @p1711 :rule scope :premises (@p1710)) % 0.42/0.77 (step-pop @p1712 :rule scope :premises (@p1711)) % 0.42/0.77 (step-pop @p1713 :rule scope :premises (@p1712)) % 0.42/0.77 (step-pop @p1714 :rule scope :premises (@p1713)) % 0.42/0.77 (step-pop @p1715 :rule scope :premises (@p1714)) % 0.42/0.77 (step-pop @p1716 :rule scope :premises (@p1715)) % 0.42/0.77 (step-pop @p1717 :rule scope :premises (@p1716)) % 0.42/0.77 (step-pop @p1718 :rule scope :premises (@p1717)) % 0.42/0.77 (step-pop @p1719 :rule scope :premises (@p1718)) % 0.42/0.77 (step-pop @p1720 :rule scope :premises (@p1719)) % 0.42/0.77 (step-pop @p1721 :rule scope :premises (@p1720)) % 0.42/0.77 (step @p1330 :rule process_scope :premises (@p1721) :args (@t410)) % 0.42/0.77 (step @p1344 :rule implies_elim :premises (@p1330)) % 0.42/0.77 (step @p1345 :rule resolution :premises (@p1344 @p1302) :args (true @t410)) % 0.42/0.77 (step @p1346 :rule not_and :premises (@p1345)) % 0.42/0.77 (step @p1347 false :rule chain_m_resolution :premises (@p1346 @p1241 @p1096 @p1056 @p1050 @p234 @p177 @p171 @p61 @p56 @p46 @p45 @p44 @p29) :args (false (@list false false false false false false false false false false false false false) (@list @t285 @t356 @t353 @t152 @t126 @t363 @t121 @t158 @t157 @t243 @t245 @t80 @t71))) % 0.42/0.77 ) % 0.42/0.77 % SZS output end Proof % 0.42/0.77 % cvc5 exiting %------------------------------------------------------------------------------